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Finding the Fourth Proportional to 2,098.04, 3,144.29 and 1,000.23

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Solution

The fourth proportional to 2,098.04, 3,144.29 and 1,000.23 is: 1,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.04 : 3,144.29 = 1,000.23 : x
  2. Step 2: Convert to fraction form
    2,098.04/3,144.29 = 1,000.23/x
  3. Step 3: Cross multiply
    2,098.04x = 3,144.29 × 1,000.23
  4. Step 4: Simplify right side
    2,098.04x = 3,145,008.19
  5. Step 5: Solve for x
    x = 3,145,008.19/2,098.04
  6. Step 6: Final answer
    x = 1,499.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.